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Calculate the distance x for locating point load so that the moment on the beam at point B is zero.
∑MA=0 -> (L/2)*2P-F2*(L-x)+P*L=0 -> F2=-(2P)*L/(x-L) (1)
∑FY=0 -> F1+ F2=2P+P -> F1=P*(3x-L)/(x-L) (2)
∑MB=0 -> (L/2)*F1 - F2*(L-L/2-x)+P*(L-L/2)=0 -> x=L/2
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